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A211733 Number of -3..3 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^(t+u+v)) having three, four, five or six distinct values for every i,j,k<=n 1

%I #4 Apr 20 2012 08:03:34

%S 36,186,620,1780,4840,13108,34968,95300,258084,715112,1970400,5539668,

%T 15468616,43974160,123983696,355470488,1009507724,2914043384,

%U 8322676556,24159321760,69319250572,202175077828,582318461756,1705203219856

%N Number of -3..3 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^(t+u+v)) having three, four, five or six distinct values for every i,j,k<=n

%H R. H. Hardin, <a href="/A211733/b211733.txt">Table of n, a(n) for n = 1..51</a>

%e Some solutions for n=5

%e ..2...-3...-2...-1...-1....0...-2....0...-1...-1....1....3....2....3....1....1

%e ..3....0...-1....0....3...-3...-1....1....0....2....3....0....0....0...-3....0

%e ..0....3....0....3....2...-2....0...-2....2....1....0...-1....3...-2....1....1

%e .-1....0....1....2....1....1...-1....1....3...-2....3...-2....0....0....3....2

%e ..0...-3....2....1....2....0...-2...-2....1...-1....1....1...-3...-3....1....1

%e ..1....1....1...-2....1...-3...-1....1....2....0....3....0....0....0...-2....0

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 20 2012

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